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Geometric Shapes and Angles Review | Key Concepts and Problems Solved

Test your geometry knowledge with this review of interior and exterior angles of polygons, including decagons, 14-gons, and hexagons. Practice calculations for perimeters and areas of regular shapes.

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Geometric Shapes and Angles Review | Key Concepts and Problems Solved

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  1. CHAPTER 11 REVIEW

  2. QUESTION ONE • Find the sum of the interior angles of a convex decagon. • 1800° B. 1440° C. 360° D. 180°

  3. QUESTION TWO • Find the sum of the interior angles of a convex 14-gon. A. 180° B. 360° C. 2160° D. 2520°

  4. QUESTION THREE • The interior angle of a regular polygon is 140°. Find the number of sides. A. 20 B. 9 C. 3 D. 2

  5. QUESTION FOUR • The interior angle of a regular polygon is 150°. Find the number of sides. A. 2 B. 3 C. 12 D. 15

  6. QUESTION FIVE • The exterior angle of a regular polygon is 30°. Find the number of sides. A. 6 B. 12 C. 18 D. 24

  7. QUESTION SIX • The exterior angle of a regular polygon is 15°. Find the number of sides. A. 24 B. 18 C. 12 D. 6

  8. QUESTION SEVEN • A convex hexagon has exterior angles of 15°, 47°, 113°, 28° and 79°. Find the measure of the last angle. A. 438° B. 102° C. 93° D. 78°

  9. QUESTION EIGHT • Find the perimeter and the area of the regular hexagon, given the radius is 14.

  10. QUESTION EIGHT • Find the perimeter and the area of the regular hexagon, given the radius is 14. A. P = 84, A = 294 B. P = , A = 147 C. P = 84 , A = 294 D. P = 42 , A = 147

  11. QUESTION NINE • Find the perimeter and the area equilateral triangle, given the apothem is 3.

  12. QUESTION NINE • Find the perimeter and the area equilateral triangle, given the apothem is 3. A. P = 9 , A = B. P = 18 , A = 27 C. P = 6 , A = 9 D. P = 18 , A = 54

  13. QUESTION TEN • Find the perimeter and the area a square, given the radius is 6.

  14. QUESTION TEN • Find the perimeter and the area a square, given the radius is 6. A. P = 48 , A = 288 B. P = 12 , A = 144 C. P = 12 , A = 18 D. P = 24 , A = 72

  15. QUESTION ELEVEN • Find the ratio of the perimeters of to . Given the area of is 18 and the area of is 128.

  16. QUESTION ELEVEN • Find the ratio of the perimeters of to . Given the area of is 18 and the area of is 128. A. B. C. D.

  17. QUESTION TWELVE • The ratio of the lengths of corresponding sides of two similar polygons is 6:13. What is the ratio of their areas?

  18. QUESTION TWELVE • The ratio of the lengths of corresponding sides of two similar polygons is 6:13. What is the ratio of their areas? • A. B. C. D.

  19. QUESTION THIRTEEN • The ratio of the perimeters of two similar polygons is 8:24. What is the ratio of the lengths of corresponding sides?

  20. QUESTION THIRTEEN • The ratio of the perimeters of two similar polygons is 8:24. What is the ratio of the lengths of corresponding sides? A. B. C. D.

  21. Answers to Review • B 2. C 3. B • C 5. B 6. A 7. D 8. A 9. B • D 11. D 12. B 13. D

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